Pregled bibliografske jedinice broj: 1110912
On the 486-vertex distance-regular graphs of Koolen-Riebeek and Soicher
On the 486-vertex distance-regular graphs of Koolen-Riebeek and Soicher // The Electronic journal of combinatorics, 27 (2020), 3; P3.13, 12 doi:10.37236/8954 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 1110912 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
On the 486-vertex distance-regular graphs of Koolen-Riebeek and Soicher
Autori
Bailey, Robert ; Hawtin, Daniel
Izvornik
The Electronic journal of combinatorics (1077-8926) 27
(2020), 3;
P3.13, 12
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
graph ; coset graph ; distance-regular graph
Sažetak
This paper considers three imprimitive distance-regular graphs with 486 vertices and diameter 4: the Koolen–Riebeek graph (which is bipartite), the Soicher graph (which is antipodal), and the incidence graph of a symmetric transversal design obtained from the affine geometry AG(5, 3) (which is both). It is shown that each of these is preserved by the same rank-9 action of the group 3^5:(2×M10), and the connection is explained using the ternary Golay code.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
HRZZ-IP-2018-01-6732 - Kombinatorički objekti i kodovi (COCo) (Crnković, Dean, HRZZ ) ( CroRIS)
Ustanove:
Sveučilište u Rijeci, Fakultet za matematiku
Profili:
Daniel Robert Hawtin
(autor)
Citiraj ovu publikaciju:
Časopis indeksira:
- Current Contents Connect (CCC)
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
